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Finding the Fourth Proportional to 83,313.30, 114,975.42 and 47,502.93

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Solution

The fourth proportional to 83,313.30, 114,975.42 and 47,502.93 is: 65,555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,313.30 : 114,975.42 = 47,502.93 : x
  2. Step 2: Convert to fraction form
    83,313.30/114,975.42 = 47,502.93/x
  3. Step 3: Cross multiply
    83,313.30x = 114,975.42 × 47,502.93
  4. Step 4: Simplify right side
    83,313.30x = 5,461,669,327.98
  5. Step 5: Solve for x
    x = 5,461,669,327.98/83,313.30
  6. Step 6: Final answer
    x = 65,555.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.